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Homework Help: Exponential Growth & Decay

  1. May 26, 2013 #1
    A rabbit population satisfies the logistic equation dy/dt=2*10^-7y(10^6-y) where t is the time measured in months. The population is suddenly reduced to 40%of its steady state size by myxomatosis.
    a) If the myxo' then has no effect how large is the population 8 months later?
    b)How long will it take for the population to build up again to 90% of its steady state size?
  2. jcsd
  3. May 26, 2013 #2


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    Gold Member

    What have you tried so far? The first step will be to solve the differential equation to find the function y(t)
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